GCD of 710, 108, 472, 550 Calculator

Given Input numbers are 710, 108, 472, 550

In the factoring method, we have to find the divisors of all numbers

Divisors of 710 :

The positive integer divisors of 710 that completely divides 710 are.

1, 2, 5, 10, 71, 142, 355, 710

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 550 :

The positive integer divisors of 550 that completely divides 550 are.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

GCD of numbers is the greatest common divisor

So, the GCD (710, 108, 472, 550) = 2.

Given numbers are 710, 108, 472, 550

The list of prime factors of all numbers are

Prime factors of 710 are 2 x 5 x 71

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 472 are 2 x 2 x 2 x 59

Prime factors of 550 are 2 x 5 x 5 x 11

The highest common occurrence is 2¹

Therefore, GCD of 710, 108, 472, 550 is 2.

Given numbers are 710, 108, 472, 550

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(710, 108) = 38340

GCD(710, 108) = ( 710 x 108 ) / 38340

= 710 / 108

= 710

Step2:

LCM(2, 472) = 472

GCD(2, 472) = ( 2 x 472 ) / 472

= 2 / 472

= 2

Step3:

LCM(2, 550) = 550

GCD(2, 550) = ( 2 x 550 ) / 550

= 2 / 550

= 2

So, Greatest Common Divisor of 710, 108, 472, 550 is 2

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Given numbers are 710, 108, 472, 550
The greatest common divisor of numbers 710, 108, 472, 550 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 710, 108, 472, 550 is 2.

1. What is the GCD of 710, 108, 472, 550?

GCD of given numbers 710, 108, 472, 550 is 2

2. How to calculate the greatest common divisor of 710, 108, 472, 550?

We can find the highest common divisor of 710, 108, 472, 550 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 710, 108, 472, 550 i.e 2.

3. How can I use the GCD of 710, 108, 472, 550Calculator?

Out the numbers 710, 108, 472, 550 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.